Mathematical modelling of the flow past bodies problems in a cylindrical coordinate system

Abstract

In the paper we consider the stationary viscous incompressible fluid flow past the cylindrical body. We propose for the linearized (by Oseen) flow problem a numerical solution method, based on the joint use the R-functions method and the Galerkin method, and for the nonlinear flow problem – on the joint use the R-functions method, the successive approximations method and the Galerkin method. Computational experiment conducted for the task of flow past circular and elliptic cylinders for different Reynolds numbers.